Zurni Omar
Department of Mathematics, School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, Malaysia

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New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations Oluwaseun Adeyeye; Zurni Omar
Journal of Mathematical and Fundamental Sciences Vol. 50 No. 1 (2018)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2018.50.1.4

Abstract

This article presents a new generalized algorithm for developing k-step (m+1)th derivative block methods for solving mth order ordinary differential equations. This new algorithm utilizes the concept from the conventional Taylor series approach of developing linear multistep methods. Certain examples are shown to show the simplicity involved in the usage of this new generalized algorithm.